a. Octal numbers: Octal number system is also known as base 8 number system and uses the digits 0 to 7. These are made from binary numerals by grouping consecutive binary digits into three groups starting from the right. Octal numbers also makes it easy to write large binary numbers into smaller groups. Hexadecimal numbers: Hexadecimal number system is a number system which consists of 16 digits and it is also known as base 16 number system. It consists of 10 digits from 0 to 9 and 6 letters from A to F. Hexadecimal makes it easy to write large binary numbers into smaller groups. It generally uses four bit binary coding.

Question

7. See the code below and solve the following. public class Test { public static void main(String[] args) { int result = 0; } result = fn(2,3); System.out.println("The result is: + result); // fn(x, 1) = x // fn(x, y) = fn(x, y-1) + 2, when y>1 public static int fn(int x, int y) { if (x <= 1) return x; else return fn(x, y-1) + 2; } } 7-1. This program has a bug that leads to infinite recursion. Modify fn(int x, int y) method to fix the problem. (2 point) 7-2. Manually trace the recursive call, fn(2,3) and show the output (step by step). (2 point) 7-3. Can you identify the Base Case in recursive method fn(int x, int y)? (1 point)

Answer 1

Question

Chapter 2, Problem 31E

Program Plan Intro

a.

Octal numbers:

Octal number system is also known as base 8 number system and uses the digits 0 to 7.

These are made from binary numerals by grouping consecutive binary digits into three groups starting from the right.

Octal numbers also makes it easy to write large binary numbers into smaller groups.

Hexadecimal numbers:

Hexadecimal number system is a number system which consists of 16 digits and it is also known as base 16 number system.

It consists of 10 digits from 0 to 9 and 6 letters from A to F.

Hexadecimal makes it easy to write large binary numbers into smaller groups.

It generally uses four bit binary coding.

Explanation of Solution

b.

Conversion of octal number 605 into hexadecimal value:

Here the given octal value is 605.

First convert the octal value 605 into its equivalent binary value. Hence the binary equivalent is 110000101.

Separate four digits from right to left...

Explanation of Solution

c.

Conversion of octal number 443 into hexadecimal number:

Here the given octal value is 443.

First convert the octal value 443 into its equivalent binary value. Hence the binary equivalent is 100100011

Separate four digits from right to left...

Explanation of Solution

d.

Conversion of octal number 521 into hexadecimal number:

Here the given octal value is 521.

First convert the octal value 521 into its equivalent binary value. Hence the binary equivalent is 101010001.

Separate four digits from right to left...

Explanation of Solution

e.

Conversion of octal number 1 into hexadecimal number:

Here the given octal value is 1.

First convert the octal value 1 into its equivalent binary value. Hence the binary equivalent is 001.

Separate four digits from right to left...

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7. See the code below and solve the following. public class Test { public static void main(String[] args) { int result = 0; } result = fn(2,3); System.out.println("The result is: + result); // fn(x, 1) = x // fn(x, y) = fn(x, y-1) + 2, when y>1 public static int fn(int x, int y) { if (x <= 1) return x; else return fn(x, y-1) + 2; } } 7-1. This program has a bug that leads to infinite recursion. Modify fn(int x, int y) method to fix the problem. (2 point) 7-2. Manually trace the recursive call, fn(2,3) and show the output (step by step). (2 point) 7-3. Can you identify the Base Case in recursive method fn(int x, int y)? (1 point)

6. See the code below and solve the following. import java.io.*; public class DataStream { } public static void main(String[] args) } DataOutputStream output = new DataOutputStream(new FileOutputStream("temp.dat")); output.writeUTF("Book1"); output.writeInt(85); output.writeUTF("Book2"); output.writeInt(125); output.writeUTF("Book3"); output.writeInt(70); output.close(); // ToDo: Read all data from temp.dat and print the data to the standard output (monitor) 6-1. This program has a compile error, and the message is “Unhandled exception type FileNotFoundException". How do you fix this error? (1 point) 6-2. Is FileNotFoundException a checked exception or an unchecked exception? (1 point) 6-3. What is the difference between checked exception and unchecked exception? (1 point) 6-4. Please complete the above program by reading all data from temp.dat and print the data to the standard output (monitor) by using System.out.print, System.out.println or System.out.printf method. (2 points)

Write a program that reads a list of integers from input and determines if the list is a palindrome (values are identical from first to last and last to first). The input begins with an integer indicating the length of the list that follows. Assume the list will contain a maximum of 20 integers. Output "yes" if the list is a palindrome and "no" otherwise. The output ends with a newline. Hints: - use a for loop to populate the array based on the specified size (the first number entered) - use a for loop to check first value with last value, second value with second from end, etc. - if the values do not match, set a Boolean variable to flag which statement to output (yes or no) Ex: If the input is (remember to include spaces between the numbers): 6 1 5 9 9 5 1 the output is: yes Ex: If the input is: 5 1 2 3 4 5 the output is: C++ coding

Answer 2

Question

Chapter 2, Problem 31E

Program Plan Intro

a.

Octal numbers:

Octal number system is also known as base 8 number system and uses the digits 0 to 7.

These are made from binary numerals by grouping consecutive binary digits into three groups starting from the right.

Octal numbers also makes it easy to write large binary numbers into smaller groups.

Hexadecimal numbers:

Hexadecimal number system is a number system which consists of 16 digits and it is also known as base 16 number system.

It consists of 10 digits from 0 to 9 and 6 letters from A to F.

Hexadecimal makes it easy to write large binary numbers into smaller groups.

It generally uses four bit binary coding.

Explanation of Solution

b.

Conversion of octal number 605 into hexadecimal value:

Here the given octal value is 605.

First convert the octal value 605 into its equivalent binary value. Hence the binary equivalent is 110000101.

Separate four digits from right to left...

Explanation of Solution

c.

Conversion of octal number 443 into hexadecimal number:

Here the given octal value is 443.

First convert the octal value 443 into its equivalent binary value. Hence the binary equivalent is 100100011

Separate four digits from right to left...

Explanation of Solution

d.

Conversion of octal number 521 into hexadecimal number:

Here the given octal value is 521.

First convert the octal value 521 into its equivalent binary value. Hence the binary equivalent is 101010001.

Separate four digits from right to left...

Explanation of Solution

e.

Conversion of octal number 1 into hexadecimal number:

Here the given octal value is 1.

First convert the octal value 1 into its equivalent binary value. Hence the binary equivalent is 001.

Separate four digits from right to left...

Expert Solution & Answer

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See solution

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Answer 3

Question

Chapter 2, Problem 31E

Program Plan Intro

a.

Octal numbers:

Octal number system is also known as base 8 number system and uses the digits 0 to 7.

These are made from binary numerals by grouping consecutive binary digits into three groups starting from the right.

Octal numbers also makes it easy to write large binary numbers into smaller groups.

Hexadecimal numbers:

Hexadecimal number system is a number system which consists of 16 digits and it is also known as base 16 number system.

It consists of 10 digits from 0 to 9 and 6 letters from A to F.

Hexadecimal makes it easy to write large binary numbers into smaller groups.

It generally uses four bit binary coding.

Explanation of Solution

b.

Conversion of octal number 605 into hexadecimal value:

Here the given octal value is 605.

First convert the octal value 605 into its equivalent binary value. Hence the binary equivalent is 110000101.

Separate four digits from right to left...

Explanation of Solution

c.

Conversion of octal number 443 into hexadecimal number:

Here the given octal value is 443.

First convert the octal value 443 into its equivalent binary value. Hence the binary equivalent is 100100011

Separate four digits from right to left...

Explanation of Solution

d.

Conversion of octal number 521 into hexadecimal number:

Here the given octal value is 521.

First convert the octal value 521 into its equivalent binary value. Hence the binary equivalent is 101010001.

Separate four digits from right to left...

Explanation of Solution

e.

Conversion of octal number 1 into hexadecimal number:

Here the given octal value is 1.

First convert the octal value 1 into its equivalent binary value. Hence the binary equivalent is 001.

Separate four digits from right to left...

Expert Solution & Answer

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Answer 4

Question

Chapter 2, Problem 31E

Program Plan Intro

a.

Octal numbers:

Octal number system is also known as base 8 number system and uses the digits 0 to 7.

These are made from binary numerals by grouping consecutive binary digits into three groups starting from the right.

Octal numbers also makes it easy to write large binary numbers into smaller groups.

Hexadecimal numbers:

Hexadecimal number system is a number system which consists of 16 digits and it is also known as base 16 number system.

It consists of 10 digits from 0 to 9 and 6 letters from A to F.

Hexadecimal makes it easy to write large binary numbers into smaller groups.

It generally uses four bit binary coding.

Explanation of Solution

b.

Conversion of octal number 605 into hexadecimal value:

Here the given octal value is 605.

First convert the octal value 605 into its equivalent binary value. Hence the binary equivalent is 110000101.

Separate four digits from right to left...

Explanation of Solution

c.

Conversion of octal number 443 into hexadecimal number:

Here the given octal value is 443.

First convert the octal value 443 into its equivalent binary value. Hence the binary equivalent is 100100011

Separate four digits from right to left...

Explanation of Solution

d.

Conversion of octal number 521 into hexadecimal number:

Here the given octal value is 521.

First convert the octal value 521 into its equivalent binary value. Hence the binary equivalent is 101010001.

Separate four digits from right to left...

Explanation of Solution

e.

Conversion of octal number 1 into hexadecimal number:

Here the given octal value is 1.

First convert the octal value 1 into its equivalent binary value. Hence the binary equivalent is 001.

Separate four digits from right to left...

Expert Solution & Answer

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See solution

Check out sample textbook solution

Answer 5

Chapter 2, Problem 31E

Program Plan Intro

a.

Octal numbers:

Octal number system is also known as base 8 number system and uses the digits 0 to 7.

These are made from binary numerals by grouping consecutive binary digits into three groups starting from the right.

Octal numbers also makes it easy to write large binary numbers into smaller groups.

Hexadecimal numbers:

Hexadecimal number system is a number system which consists of 16 digits and it is also known as base 16 number system.

It consists of 10 digits from 0 to 9 and 6 letters from A to F.

Hexadecimal makes it easy to write large binary numbers into smaller groups.

It generally uses four bit binary coding.

Explanation of Solution

b.

Conversion of octal number 605 into hexadecimal value:

Here the given octal value is 605.

First convert the octal value 605 into its equivalent binary value. Hence the binary equivalent is 110000101.

Separate four digits from right to left...

Explanation of Solution

c.

Conversion of octal number 443 into hexadecimal number:

Here the given octal value is 443.

First convert the octal value 443 into its equivalent binary value. Hence the binary equivalent is 100100011

Separate four digits from right to left...

Explanation of Solution

d.

Conversion of octal number 521 into hexadecimal number:

Here the given octal value is 521.

First convert the octal value 521 into its equivalent binary value. Hence the binary equivalent is 101010001.

Separate four digits from right to left...

Explanation of Solution

e.

Conversion of octal number 1 into hexadecimal number:

Here the given octal value is 1.

First convert the octal value 1 into its equivalent binary value. Hence the binary equivalent is 001.

Separate four digits from right to left...

Answer 6

Chapter 2, Problem 31E

Program Plan Intro

a.

Octal numbers:

Octal number system is also known as base 8 number system and uses the digits 0 to 7.

These are made from binary numerals by grouping consecutive binary digits into three groups starting from the right.

Octal numbers also makes it easy to write large binary numbers into smaller groups.

Hexadecimal numbers:

Hexadecimal number system is a number system which consists of 16 digits and it is also known as base 16 number system.

It consists of 10 digits from 0 to 9 and 6 letters from A to F.

Hexadecimal makes it easy to write large binary numbers into smaller groups.

It generally uses four bit binary coding.

Answer 7

Chapter 2, Problem 31E

Program Plan Intro

a.

Octal numbers:

Octal number system is also known as base 8 number system and uses the digits 0 to 7.

These are made from binary numerals by grouping consecutive binary digits into three groups starting from the right.

Octal numbers also makes it easy to write large binary numbers into smaller groups.

Hexadecimal numbers:

Hexadecimal number system is a number system which consists of 16 digits and it is also known as base 16 number system.

It consists of 10 digits from 0 to 9 and 6 letters from A to F.

Hexadecimal makes it easy to write large binary numbers into smaller groups.

It generally uses four bit binary coding.

Answer 8

Explanation of Solution

b.

Conversion of octal number 605 into hexadecimal value:

Here the given octal value is 605.

First convert the octal value 605 into its equivalent binary value. Hence the binary equivalent is 110000101.

Separate four digits from right to left...

Answer 9

Explanation of Solution

b.

Conversion of octal number 605 into hexadecimal value:

Here the given octal value is 605.

First convert the octal value 605 into its equivalent binary value. Hence the binary equivalent is 110000101.

Separate four digits from right to left...

Answer 10

Explanation of Solution

c.

Conversion of octal number 443 into hexadecimal number:

Here the given octal value is 443.

First convert the octal value 443 into its equivalent binary value. Hence the binary equivalent is 100100011

Separate four digits from right to left...

Answer 11

Explanation of Solution

c.

Conversion of octal number 443 into hexadecimal number:

Here the given octal value is 443.

First convert the octal value 443 into its equivalent binary value. Hence the binary equivalent is 100100011

Separate four digits from right to left...

Answer 12

Explanation of Solution

d.

Conversion of octal number 521 into hexadecimal number:

Here the given octal value is 521.

First convert the octal value 521 into its equivalent binary value. Hence the binary equivalent is 101010001.

Separate four digits from right to left...

Answer 13

Explanation of Solution

d.

Conversion of octal number 521 into hexadecimal number:

Here the given octal value is 521.

First convert the octal value 521 into its equivalent binary value. Hence the binary equivalent is 101010001.

Separate four digits from right to left...

Answer 14

Explanation of Solution

e.

Conversion of octal number 1 into hexadecimal number:

Here the given octal value is 1.

First convert the octal value 1 into its equivalent binary value. Hence the binary equivalent is 001.

Separate four digits from right to left...

Answer 15

Explanation of Solution

e.

Conversion of octal number 1 into hexadecimal number:

Here the given octal value is 1.

First convert the octal value 1 into its equivalent binary value. Hence the binary equivalent is 001.

Separate four digits from right to left...

Answer 16

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Answer 27

Ch. 2 - Prob. 1E Ch. 2 - Prob. 2E Ch. 2 - Prob. 3E Ch. 2 - Prob. 4E Ch. 2 - Prob. 5E Ch. 2 - Prob. 6E Ch. 2 - Prob. 7E Ch. 2 - Prob. 8E Ch. 2 - Prob. 9E Ch. 2 - Prob. 10E

Explanation of Solution

b. Conversion of octal number 605 into hexadecimal value: Here the given octal value is 605. First convert the octal value 605 into its equivalent binary value. Hence the binary equivalent is 110000101. Separate four digits from right to left...

Explanation of Solution

c. Conversion of octal number 443 into hexadecimal number: Here the given octal value is 443. First convert the octal value 443 into its equivalent binary value. Hence the binary equivalent is 100100011 Separate four digits from right to left...

Explanation of Solution

d. Conversion of octal number 521 into hexadecimal number: Here the given octal value is 521. First convert the octal value 521 into its equivalent binary value. Hence the binary equivalent is 101010001. Separate four digits from right to left...

Explanation of Solution

e. Conversion of octal number 1 into hexadecimal number: Here the given octal value is 1. First convert the octal value 1 into its equivalent binary value. Hence the binary equivalent is 001. Separate four digits from right to left...

Chapter 2 Solutions

b.

Conversion of octal number 605 into hexadecimal value:

Here the given octal value is 605.

First convert the octal value 605 into its equivalent binary value. Hence the binary equivalent is 110000101.

Separate four digits from right to left...

c.

Conversion of octal number 443 into hexadecimal number:

Here the given octal value is 443.

First convert the octal value 443 into its equivalent binary value. Hence the binary equivalent is 100100011

Separate four digits from right to left...

d.

Conversion of octal number 521 into hexadecimal number:

Here the given octal value is 521.

First convert the octal value 521 into its equivalent binary value. Hence the binary equivalent is 101010001.

Separate four digits from right to left...

e.

Conversion of octal number 1 into hexadecimal number:

Here the given octal value is 1.

First convert the octal value 1 into its equivalent binary value. Hence the binary equivalent is 001.

Separate four digits from right to left...